Geometric Figures and Theorems Quiz

Dive into geometry with questions on theorems, figures, angles, and areas. Test and expand your math knowledge now.

#1

What is the formula to find the area of a rectangle?

A = l * w
A = 2 * (l + w)
A = l + w
A = l / w
#2

Which of the following is true about a square?

All sides are equal
Opposite sides are equal
Adjacent sides are equal
Only two sides are equal
#3

What is the name of a polygon with seven sides?

Hexagon
Octagon
Heptagon
Nonagon
#4

In a parallelogram, what is the relationship between opposite angles?

They are supplementary
They are complementary
They are equal
They are vertical angles
#5

What is the name of a polygon with ten sides?

Decagon
Dodecagon
Hexagon
Octagon
#6

In a circle, what is the ratio of the circumference to the diameter?

π
π/2
1/π
#7

What is the name of a polygon with twelve sides?

Dodecagon
Decagon
Octagon
Hexagon
#8

What is the sum of the interior angles of a triangle?

90 degrees
180 degrees
270 degrees
360 degrees
#9

Which theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides?

Pythagoras' theorem
Fermat's Last Theorem
Euler's theorem
Pascal's theorem
#10

Which theorem states that the area of a triangle is equal to half the product of the lengths of two sides and the sine of the included angle?

Sine rule
Cosine rule
Area rule
Heron's formula
#11

What is the measure of an exterior angle of a regular pentagon?

45 degrees
54 degrees
72 degrees
90 degrees
#12

Which theorem states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent?

SAS Congruence
ASA Congruence
SSS Congruence
AAS Congruence
#13

What is the measure of the central angle subtended by an arc that is one-third of the circumference of a circle?

90 degrees
120 degrees
150 degrees
180 degrees
#14

Which theorem states that the ratio of the lengths of the sides of a right triangle is equal to the ratio of the lengths of the sides of the similar triangles?

SAS similarity theorem
SSS similarity theorem
AAA similarity theorem
SAS congruence theorem
#15

What is the formula to find the volume of a sphere?

V = 4/3 * π * r^3
V = 2/3 * π * r^3
V = π * r^2
V = 4/3 * π * r^2
#16

Which geometric figure has all sides and all angles equal?

Rhombus
Rectangle
Parallelogram
Equilateral triangle
#17

Which theorem states that the areas of two similar triangles are proportional to the squares of any two corresponding sides?

Similarity theorem
Heron's formula
Sine rule
Pythagoras' theorem
#18

Which theorem states that the sum of the measures of the exterior angles of a polygon, one at each vertex, is always 360 degrees?

Triangle inequality theorem
Angle sum property of a polygon
Exterior angle theorem
Sum of the interior angles theorem
#19

Which theorem states that the medians of a triangle intersect at a point that is two-thirds of the distance from each vertex to the midpoint of the opposite side?

Angle bisector theorem
Perpendicular bisector theorem
Median theorem
Centroid theorem

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